• 제목/요약/키워드: Elastic strain energy

검색결과 284건 처리시간 0.022초

Bending analysis of a micro sandwich skew plate using extended Kantorovich method based on Eshelby-Mori-Tanaka approach

  • Rajabi, Javad;Mohammadimehr, Mehdi
    • Computers and Concrete
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    • 제23권5호
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    • pp.361-376
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    • 2019
  • In this research, bending analysis of a micro sandwich skew plate with isotropic core and piezoelectric composite face sheets reinforced by carbon nanotube on the elastic foundations are studied. The classical plate theory (CPT) are used to model micro sandwich skew plate and to apply size dependent effects based on modified strain gradient theory. Eshelby-Mori-Tanaka approach is considered for the effective mechanical properties of the nanocomposite face sheets. The governing equations of equilibrium are derived using minimum principle of total potential energy and then solved by extended Kantorovich method (EKM). The effects of width to thickness ratio and length to width of the sandwich plate, core-to-face sheet thickness ratio, the material length scale parameters, volume fraction of CNT, the angle of skew plate, different boundary conditions and types of cores on the deflection of micro sandwich skew plate are investigated. One of the most important results is the reduction of the deflection by increasing the angle of the micro sandwich skew plate and decreasing the deflection by decreasing the thickness of the structural core. The results of this research can be used in modern construction in the form of reinforced slabs or stiffened plates and also used in construction of bridges, the wing of airplane.

Optimization dynamic responses of laminated multiphase shell in thermo-electro-mechanical conditions

  • Fan, Linyuan;Kong, Degang;Song, Jun;Moradi, Zohre;Safa, Maryam;Khadimallah, Mohamed Amine
    • Advances in nano research
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    • 제13권1호
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    • pp.29-45
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    • 2022
  • The optimization for dynamic response associated with a cylindrical shell which is made of laminated composites embedded in a piezoelectric layer which is subjected to temperature rises and is resting on an elastic foundation is investigated for the first time. The first shear order theory (FSDT) is utilized in order to obtain the strain relations of the shell. Then, using the energy method, the equations of motions as well as boundary condition of the problem are attained. The formulation of this study together with the solution procedure which is a numerical solution method, differential quadrature method (DQM) is validated using other researches. This paper presents a thorough study on the parameters which impacts the vibration frequency of the laminated shell. The results of this paper shows that any type of laminated composite shell can reduce the vibration frequency providing that the angle related to layer are higher than 85 degrees. Also, in order to reduce the effect of temperature rises, the laminated composites instead of orthotropic one can be used.

복합재료 적층 구조물에 대한 열-기계-점탄성 연성 거동 예측을 위한 개선된 일차전단변형이론 (Enhanced First-Order Shear Deformation Theory for Thermo-Mechanical-Viscoelastic Analysis of Laminated Composite Structures)

  • 김준식;한장우
    • 한국기계가공학회지
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    • 제21권4호
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    • pp.53-59
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    • 2022
  • In this study, an enhanced first-order shear deformation theory is proposed to efficiently and accurately predict the thermo-mechanical-viscoelastic coupled behavior of laminated composite structures. To this end, transverse shearstress and displacement fields are independently assumed, and the strain-energy relationship between these fields issystematically established using the mixed variational theorem (MVT). In MVT, the transverse shear stress fields are obtained from the third-order zigzag model, whereas the displacement fields of the conventional first-order model are considered to amplify the benefits of numerical efficiency. Additionally, a transverse displacement field with a smooth parabolic distribution is introduced to accurately predict the thermal behavior of composite structures. Furthermore, the concept of Laplace transformation is newly employed to simplify the viscoelastic problem, similar to the linear-elastic problem. To demonstrate the performance of the proposed theory, the numerical results obtained herein were compared with those available in the literature.

Influence of size and location of a pre-existing fracture on hydraulic fracture propagation path

  • Bo, Zhang;Yao, Li;Xue Y., Yang;Shu C., Li;Chao, Wei;Juan, Songa
    • Geomechanics and Engineering
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    • 제32권3호
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    • pp.321-333
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    • 2023
  • Rock masses often contain natural fractures of varying sizes, and the size of the natural fractures may affect the propagation of hydraulic fractures. We conduct a series of triaxial hydraulic fracturing tests to investigate the effect of the pre-existing fracture size a on hydraulic fracture propagation. Experimental results show that the pre-existing fracture size impacts hydraulic fracture propagation. As the pre-existing fracture size increases, the hydraulic fracture propagates towards the pre-existing fracture tips, evidenced by the decreased distance between the final hydraulic fracture and the pre-existing fracture tips. Furthermore, the attracting effect of pre-existing fracture tips increases when the distance between the wellbore and the pre-existing fracture is short (L/D=2 or 4 in this study). With increased distance between the wellbore and the pre-existing fracture (L/D=6 in this study), the hydraulic fracture propagates to the middle of the pre-existing fracture rather than the tips, as the attracting effect of the pre-existing fracture diminishes.

지반보강용 주입재의 성능향상을 위한 초음파 에너지의 활용 (Application of ultrasonic energy to enhance capability of soil improving material)

  • 문준호;;정강복;김영욱
    • 한국터널지하공간학회 논문집
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    • 제19권4호
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    • pp.567-576
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    • 2017
  • 본 연구에서는 지반보강용 시멘트-페이스트에 초음파를 조사하여 온도변화, 점도, 일축압축강도, 육안관측 시험을 통해 초음파가 시멘트-페이스트에 어떠한 물리적 특성을 변화시키는지에 대하여 고찰하였다. 실험에 사용된 w/c는 50~100%까지 다양하게 진행하였으며, 그라우트재의 온도변화는 ${\pm}2^{\circ}C$내에서 범위를 벗어나지 않도록 조절하여 실험을 진행하였다. 실험결과 온도변화는 초음파 조사시간에 비례하여 일정하게 증가하였고, 초음파를 조사한 지반보강용 시멘트-페이스트 점도는 최대 40%까지 감소하는 것으로 나타났다. 일축압축강도는 평균 30% 증가하였으며 육안관측시험에서도 초음파를 조사한 시멘트-페이스트의 단면이 공극이 많이 감소하는 양상을 보였다.

해상풍속측정용 마스트의 충격해석에 관한 연구

  • 이강수;김만응;손충렬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 춘계학술대회 논문집
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    • pp.108-108
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    • 2009
  • 본 연구의 목적은 바지선에 의해 발생하는 해상풍속측정용 마스트 구조물의 충격손상을 최소화 시키기 위한 것이다. 마스트와 바지선 사이의 충격은 보통 복잡한 형태로 이루어진다. 충격해석은 상용유한요소해석 프로그램인 ANSYS LS-Dyna를 통하여 분석하였다. 바지선속을 변화시켜 다양한 상태의 하중케이스를 고려하였고 충격방지고무의 비선형성을 고려한 시간이력해석을 수행하였으며 변형률 에너지, 전체 변형량, 플라스틱 변형률, 내부충격에너지, 영구손상된 변형량 등을 검토하였다. 해상상태조건인 해양파의 운동과 바지선의 상하방향 운동을 무시하는 것으로 가정하였다. 충격속도에 변화에 따른 영구변형을 확인한 후 자연고무, 복합고무, 네오프렌 등의 고무시험 물성치로부터 구한 Mooney-Rivlin 상수를 적용하여 적절한 충격방지고무의 두께를 제안하였다. 본 연구를 통하여 구조물의 두께와 충격방지고무의 두께비에 대한 경향을 파악할 수 있으며 구조물의 설계에 적용할 수 있게 된다. 추후 해상조건을 고려한 연구를 수행해야 할 것이다.

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이온 조사된 Cu/Ni/Cu(001)/Si 자성박막에 있어서 X-ray reflectivity를 이용한 계면 연구 (Interface study of ion irradiated Cu/Ni/Cu(001)/Si thin film by X-ray reflectivity)

  • 김태곤;송종한;이택휘;채근화;황현미;전기영;이재용;정광호;황정남;이준식;이기봉
    • 한국자기학회지
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    • 제12권5호
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    • pp.184-188
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    • 2002
  • 수직자기이방성을 가지는 Cu/Ni/Cu(002)/Si(100) 자성박막을 전자빔 증발법을 이용하여 초고진공에서 증착 하였다. 증착 시 RHEED로 측정 한 결과 실리콘 기판 위에 자성박막이 적층성장되었음을 확인하였다. 이러한 Cu/Ni/Cu(001)/Si(100) 자성박막에 1 MeV C 이온을 이온선량 2$\times$$10^{16}$ ions/$\textrm{cm}^2$로 조사한 후 MOKE로 자기이력곡선을 측정한 결과 이온 조사에 의해 자화용이축이 수직에서 수평방향으로 변화되었음을 확인하였다 포항 방사광가속기를 이용하여 X-선 반사도와 Grazing Incident X-ray diffraction(GE) 분석을 수행한 결과 첫 번째 Cu층과 Ni층 사이의 계면은 이온 조사 후 거칠기는 증가하였으나, Cu와 Ni의 전자밀도의 대비는 더욱 명확해졌다. 그리고, 증착 후 Cu와 Ni원자의 격자 상수 차이에 의해 Ni층이 가지고 있었던 strain은 이온 조사 후 완화되었음을 알 수 있었다. 끝으로, 이온조사 시 자성특성 변화와 직접적인 관계가 있는 strain 완화, 계면 혼합층(혹은 새로운 상)등이 생성되는 기구를 탄성충돌 및 비탄성충돌에 의한 열화학적 구동력으로 규명하였다.

압축강도 수준에 따른 HPFRCC의 동적충격 인장강도 평가 (Evaluation of Dynamic Tensile Strength of HPFRCC According to Compressive Strength Level)

  • 박기준;김원우;박정준;문재흠;김성욱
    • 한국구조물진단유지관리공학회 논문집
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    • 제22권3호
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    • pp.31-37
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    • 2018
  • 이 논문은 압축강도 수준(100, 140, 180 MPa급)에 따른 HPFRCC의 동적충격 인장강도를 평가하였다. 먼저 100, 140, 180 MPa급 HPFRCC의 압축응력-변형률 관계를 분석한 결과 압축강도는 각각 112, 150, 202 MPa로 나타났으며, 압축강도가 높아짐에 따라 탄성계수도 증가하는 경향을 나타내었다. 100, 140, 180 MPa급 HPFRCC의 정적 인장강도는 각각 10.7, 11.5, 16.5 MPa로 나타났으며, 압축강도가 높아질수록 인장강도도 증가하는 경향을 나타내었다. 반면 100 및 140 MPa급 HPFRCC에서의 인장강도 및 에너지 흡수능력은 압축강도 수준에 따라 큰 차이를 보이지 않았다. 이는 시험체의 규격 및 강섬유의 배열에 영향을 받은 것으로 판단된다. HPFRCC의 동적충격 인장강도를 평가한 결과, 변형률 속도가 10-1/s에서 150/s로 증가할수록 모든 HPFRCC의 인장강도와 동적증가계수는 증가하는 경향을 보였다. 한편 동일한 범위의 변형률 속도에서 HPFRCC의 압축강도가 낮을수록 인장강도에 대한 DIF가 높게 측정되어 효율적인 측면에서는 100 MPa급 HPFRCC가 가장 우수한 것으로 나타났다. 따라서 높은 수준의 인장성능이 요구되는 경우 높은 압축강도를 가지는 HPFRCC를 사용하는 것이 유리하며, 폭발과 같은 고속변형률 속도에서 보다 효율적인 접근을 위해서는 목표 압축강도에 근접한 HPFRCC를 사용하는 것이 바람직한 것으로 판단된다.

수도(水稻)의 역학적(力學的) 및 리올러지 특성(特性)에 관(關)한 연구(硏究) (Mechanical and Rheological Properties of Rice Plant)

  • 허윤근;차균도
    • 농업과학연구
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    • 제14권1호
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    • pp.98-133
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    • 1987
  • The mechanical and rheological properties of agricultural materials are important for engineering design and analysis of their mechanical harvesting, handling, transporting and processing systems. Agricultural materials, which composed of structural members and fluids do not react in a purely elastic manner, and their response when subjected to stress and strain is a combination of elastic and viscous behavior so called viscoelastic behavior. Many researchers have conducted studies on the mechanical and rheological properties of the various agricultural products, but a few researcher has studied those properties of rice plant, and also those data are available only for foreign varieties of rice plant. This study are conducted to experimentally determine the mechanical and the rheological properties such as axial compressive strength, tensile strength, bending and shear strength, stress relaxation and creep behavior of rice stems, and grain detachment strength. The rheological models for the rice stem were developed from the test data. The shearing characteristics were examined at some different levels of portion, cross-sectional area, moisture content of rice stem and shearing angle. The results obtained from this study were summarized as follows 1. The mechanical properties of the stems of the J aponica types were greater than those of the Indica ${\times}$ Japonica hybrid in compression, tension, bendingand shearing. 2. The mean value of the compressive force was 80.5 N in the Japonica types and 55.5 N in the Indica ${\times}$ Japonica hybrid which was about 70 percent to that of the Japonica types, and then the value increased progressively at the lower portion of the stems generally. 3. The average tensile force was about 226.6 N in the Japonica types and 123.6 N in the Indica ${\times}$ Japonica hybrid which was about 55 percent to that of the Japonica types. 4. The bending moment was $0.19N{\cdot}m$ in the Japonica types and $0.13N{\cdot}m$ in the Indica ${\times}$ Japonica hybrid which was 68 percent to that of the Japonica types and the bending strength was 7.7 MPa in the Japonica types and 6.5 MPa in the Indica ${\times}$ Japonica hybrid respectively. 5. The shearing force was 141.1 N in Jinju, the Japonica type and 101.4 N in Taebaeg, the Indica ${\times}$ Japonica hybrid which was 72 percent to that of Jinju, and the shearing strength of Taebaeg was 63 percent to that of Jinju. 6. The shearing force and the shearing energy along the stem portion in Jinju increased progressively together at the lower portions, meanwhile in Taebaeg the shearing force showed the maximum value at the intermediate portion and the shearing energy was the greatest at the portion of 21 cm from the ground level, and also the shearing strength and the shearing energy per unit cross-sectional area of the stem were the greater values at the intermediate portion than at any other portions. 7. The shearing force and the shearing energy increased with increase of the cross-sectional area of the rice stem and with decrease of the shearing angie from $90^{\circ}$ to $50^{\circ}$. 8. The shearing forces showed the minimum values of 110 N at Jinju and of 60 N at Taebaeg, the shearing energy at the moisture content decreased about 15 percent point from initial moisture content showed value of 50 mJ in Jinju and of 30 mJ in Taebaeg, respectively. 9. The stress relaxation behavior could be described by the generalized Maxwell model and also the compression creep behavior by Burger's model, respectively in the rice stem. 10. With increase of loading rate, the stress relaxation intensity increased, meanwhile the relaxation time and residual stress decreased. 11. In the compression creep test, the logarithmic creep occured at the stress less than 2.0 MPa and the steady-state creep at the stress larger than 2.0 MPa. 12. The stress level had not a significant effect on the relaxation time, while the relaxation intensity and residual stress increased with increase of the stress level. 13. In the compression creep test of the rice stem, the instantaneous elastic modulus of Burger's model showed the range of 60 to 80 MPa and the viscosities of the free dashpot were very large numerical value which was well explained that the rice stem was viscoelastic material. 14. The tensile detachment forces were about 1.7 to 2.3 N in the Japonica types while about 1.0 to 1.3 N in Indica ${\times}$ Japonica hybrid corresponding to 58 percent of Japonica types, and the bending detachment forces were about 0.6 to 1.1 N corresponding to 30 to 50 percent of the tensile detachment forces, and the bending detachment of the Indica ${\times}$ Japonica hybrid was 0.1 to 0.3 N which was 7 to 21 percent of Japonica types. 15. The detachment force of the lower portion was little bigger than that of the upper portion in a penicle and was not significantly affected by the harvesting period from September 28 to October 20. 16. The tensile and bending detachment forces decreased with decrease of the moisture content from 23 to 13 percent (w.b.) by the natural drying, and the decreasing rate of detachment forces along the moisture content was the greater in the bending detachment force than the tensile detachment force.

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저압터빈 최종단 블레이드 손상해석 (Damage Analysis for Last-Stage Blade of Low-Pressure Turbine)

  • 송기욱;최우성;김완재;정남근
    • 대한기계학회논문집B
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    • 제37권12호
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    • pp.1153-1157
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    • 2013
  • 증기터빈의 터빈 블레이드는 발전소 핵심설비 중 하나로, 로터의 디스크에 결합되어 회전함으로 써 증기 에너지를 기계적 에너지로 변환시켜주는 역할을 하고 있다. 최근 터빈의 잦은 기동정지로 인해 블레이드 회전에 따른 원심하중이 반복적 작용하고 이에 따른 저압 증기터빈 최종단 블레이드의 손상이 자주 보고되고 있다. 본 논문에서는 터빈 블레이드에 발생되는 손상을 분석하여 블레이드에 발생되는 저주기 피로수명을 평가하였다. 증기터빈 최종단 블레이드의 균열발생 수명을 결정하기 위해 유한요소법으로 계산한 탄성응력에 Neuber's rule을 적용하여 진변형율 진폭을 계산하였으며, 예측된 수명과 블레이드 실제 기동정지횟수가 잘 일치됨을 보였다.